850795545600 has 4752 divisors, whose sum is σ = 4550189769216. Its totient is φ = 148635648000.

The previous prime is 850795545599. The next prime is 850795545643. The reversal of 850795545600 is 6545597058.

850795545600 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 95 + 545 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 27445017585 + ... + 27445017615.

Almost surely, 2^850795545600 is an apocalyptic number.

850795545600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850795545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275094884608).

850795545600 is an abundant number, since it is smaller than the sum of its proper divisors (3699394223616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

850795545600 is a wasteful number, since it uses less digits than its factorization.

850795545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 850795545600 in words is "eight hundred fifty billion, seven hundred ninety-five million, five hundred forty-five thousand, six hundred".